Question

Find the APR, or stated rate, in each of the following cases:
**(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.)**

Stated Rate (APR) |
Number of Times Compounded |
Effective Rate (EAR) |
||||

% | Semiannually | 12.2 | % | |||

Monthly | 13.1 | |||||

Weekly | 10.8 | |||||

Infinite | 14.5 |

Answer #1

1.EAR=(1+APR/m)^m-1

where m=compounding periods

0.122=(1+APR/2)^2-1

(1+0.122)=(1+APR/2)^2

(1.122)^(1/2)=(1+APR/2)

APR=[(1.122)^(1/2)-1]*2

=**11.85%(Approx).**

2.EAR=(1+APR/m)^m-1

where m=compounding periods

0.131=(1+APR/2)^12-1

(1+0.131)=(1+APR/12)^12

(1.131)^(1/12)=(1+APR/12)

APR=[(1.131)^(1/12)-1]*12

=**12.37%(Approx).**

3.EAR=(1+APR/m)^m-1

where m=compounding periods

0.108=(1+APR/52)^52-1

(1+0.108)=(1+APR/52)^52

(1.108)^(1/52)=(1+APR/52)

APR=[(1.108)^(1/52)-1]*52

=**10.27%(Approx).**

4.EAR=(e)^APR-1

where e=2.71828

0.145=(2.71828)^APR-1

(1.145)=2.71828^APR

Taking log on both sides;

log 1.145=APR*log 2.71828

APR=log 1.145/log 2.71828

=**13.54%(Approx).**

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.,
32.16.):
Standard rate (APR) %
Number of times Compounded
Effective Rate (EAR)
semiannually
11.3%
Monthly
12.2%
Weekly
9.9%
Infinite
13.6%

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
Number of Times Compounded
Effective Rate (EAR)
%
Semiannually
12.4
%
Monthly
13.3
Weekly
11.0
Infinite
14.7

Find the APR, or stated rate, in each of the following cases (Do
not round intermediate calculations. Enter your answers as a
percent rounded to 2 decimal places, e.g., 32.16.):
Stated Rate (APR)
Number of Times Compounded
Effective Rate (EAR)
%
Semiannually
10.50%
Monthly
11.4
Weekly
9.1
Infinite
12.8

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
Number of Times Compounded
Effective Rate (EAR)
%
Semiannually
12.1
%
Monthly
13.0
Weekly
10.7
Infinite
14.4

Find the APR, or stated rate, in each of the following cases:
(Do not round intermediate calculations. Enter your answers
as a percent rounded to 2 decimal places, e.g.,
32.16.)
Stated Rate
(APR)
Number of Times
Compounded
Effective
Rate (EAR)
%
Semiannually
10.6
%
Monthly
11.5
Weekly
9.2
Infinite
12.9

Find the APR, or stated rate, in each of the following cases
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g.,
32.16.):
Stated Rate (APR)
# of times Compounded
Efective rate (EAR)
semiannual
11.3%
monthly
12.2%
weekly
9.9%
infinite
13.6%

Find the APR, or stated rate, in each of the following cases.
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g., 32.16. Use
365 days in a year.)
Stated Rate (APR)
Number of Times
Compounded
Effective Rate (EAR)
%
Semiannually
14.50
%
%
Monthly
10.50
%
Weekly
10.50
%
Daily
8.50

Find the APR, or stated rate, in each of the following cases.
(Do not round intermediate calculations and enter your
answers as a percent rounded to 2 decimal places, e.g., 32.16. Use
365 days in a year.)
Stated Rate
(APR)
Number of
Times
Compounded
Effective Rate (EAR)
%
Semiannually
13.50
%
%
Monthly
9.50
%
Weekly
11.50
%
Daily
9.50

Find the APR, or stated rate, in each of the following
cases. (Use 365 days in a
year.Enter rounded answers as directed, but do not
use rounded numbers in intermediate
calculations.Enter your answers as a percent
rounded to 2 decimal places (e.g.
32.16).)
Stated Rate (APR)
Number of Times
Compounded
Effective Rate (EAR)
%
Semiannually
14
%
Monthly
9
%
Weekly
8
%
Daily
13

Find the EAR in each of the following cases. (Do not
round intermediate calculations and enter your answers as a percent
rounded to 2 decimal places, e.g., 32.16. Use 365 days in a
year.)
Stated Rate (APR)
Number of times compounded
Effective rate (EAR)
11%
Quarterly
15%
Monthly
17%
Daily
13%
Semiannually

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